The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
- 1 December 1995
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 12 (12) , 2961-2966
- https://doi.org/10.1088/0264-9381/12/12/012
Abstract
Liouville theory is shown to describe the asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant. This is because (i) Chern - Simons theory with a gauge group on a spacetime with a cylindrical boundary is equivalent to the non-chiral SL(2,R) WZW model; and (ii) the anti-de Sitter boundary conditions implement the constraints that reduce the WZW model to the Liouville theory.Keywords
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